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Numbers k such that Mordell's equation y^2 = x^3 + k has a record number of integral solutions.
3

%I #9 Aug 24 2022 09:03:38

%S 1,8,9,17,225,1025

%N Numbers k such that Mordell's equation y^2 = x^3 + k has a record number of integral solutions.

%C Indices of records in A081119. For the record values see A356701.

%e 1025 is a term since the equation y^2 = x^3 + 1025 has 32 integral solutions, and the number of solutions to y^2 = x^3 + k is less than 32 for 0 < k < 1025.

%Y Cf. A081119, A081120, A356700, A356701, A356702.

%K nonn,hard,more

%O 1,2

%A _Jianing Song_, Aug 23 2022